×

Adaptive fixed-time consensus control of nonlinear multiagent systems with dead-zone output. (English) Zbl 1536.93454

Summary: This paper proposes a fixed-time leader-follower consensus tracking control scheme for uncertain multiagent systems with unknown dead-zone output. First, a novel approximate dead-zone model was introduced to accurately represent the dead-zone phenomenon in the output channel of nonlinear multiagent systems. Furthermore, the model presented is a smooth function, which greatly simplifies the process of fusing it with the backstepping technique. Second, we present a Nussbaum function to compensate for the uncertain gain from the output dead-zone nonlinearity. Third, unlike previous works, we first consider practical fixed-time consensus issues for multiagent systems with output dead-zone. Finally, according to the fixed-time control theory, the tracking error of the multiagent systems converges to the region around zero within a fixed time, which is confirmed by the simulations.

MSC:

93C40 Adaptive control/observation systems
93D40 Finite-time stability
93D50 Consensus
93C10 Nonlinear systems in control theory
93A16 Multi-agent systems
Full Text: DOI

References:

[1] Wang, Z.; Chang, Y.; Zhang, H.; Yan, H., Bearing-only distributed localization for multi-agent systems with complex coordinates, Inf. Sci., 626, 837-850 (2023) · Zbl 1536.93052
[2] Rahimi, N.; Binazadeh, T., Distributed robust consensus control for nonlinear leader-follower multi-agent systems based on adaptive observer-based sliding mode, J. Vib. Control, 25, 1, 109-121 (2019)
[3] Yao, D.; Li, H.; Lu, R.; Shi, Y., Event-based distributed sliding mode formation control of multi-agent systems and its applications to robot manipulators, Inf. Sci., 614, 87-103 (2022) · Zbl 1536.93583
[4] Li, Y.; Li, K.; Tong, S., An observer-based fuzzy adaptive consensus control method for nonlinear multiagent systems, IEEE Trans. Fuzzy Syst., 30, 11, 4667-4678 (2022)
[5] Yan, L.; Liu, J.; Chen, C.; Zhang, Y.; Wu, Z.; Liu, Z., Game-based adaptive fuzzy optimal bipartite containment of nonlinear multi-agent systems, IEEE Trans. Fuzzy Syst., 1-11 (2023)
[6] Long, J.; Wang, W.; Huang, J.; Lü, J.; Liu, K., Adaptive leaderless consensus for uncertain high-order nonlinear multiagent systems with event-triggered communication, IEEE Trans. Syst. Man Cybern. Syst., 52, 11, 7101-7111 (2022)
[7] Zheng, L.; Liu, Z.; Wang, Y.; Chen, C. L.P.; Zhang, Y.; Wu, Z., Reinforcement learning-based adaptive optimal control for nonlinear systems with asymmetric hysteresis, IEEE Trans. Neural Netw. Learn. Syst., 1-10 (2023)
[8] Yue, D.; Cao, J.; Li, Q.; Liu, Q., Neural-network-based fully distributed adaptive consensus for a class of uncertain multiagent systems, IEEE Trans. Neural Netw. Learn. Syst., 32, 7, 2965-2977 (2021)
[9] Xiao, F.; Wang, L.; Chen, J.; Gao, Y., Finite-time formation control for multi-agent systems, Automatica, 45, 11, 2605-2611 (2009) · Zbl 1180.93006
[10] Wu, Y.; Pan, Y.; Chen, M.; Li, H., Quantized adaptive finite-time bipartite nn tracking control for stochastic multiagent systems, IEEE Trans. Cybern., 51, 6, 2870-2881 (2021)
[11] Dong, G.; Li, H.; Ma, H.; Lu, R., Finite-time consensus tracking neural network ftc of multi-agent systems, IEEE Trans. Neural Netw. Learn. Syst., 32, 2, 653-662 (2021)
[12] Polyakov, A., Nonlinear feedback design for fixed-time stabilization of linear control systems, IEEE Trans. Autom. Control, 57, 8, 2106-2110 (2012) · Zbl 1369.93128
[13] Chen, C.; Han, Y.; Zhu, S.; Zeng, Z., Neural network-based fixed-time tracking and containment control of second-order heterogeneous nonlinear multiagent systems, IEEE Trans. Neural Netw. Learn. Syst., 1-15 (2023)
[14] Ni, J.; Zhao, Y.; Cao, J.; Li, W., Fixed-time practical consensus tracking of multi-agent systems with communication delay, IEEE Trans. Netw. Sci. Eng., 9, 3, 1319-1334 (2022)
[15] Ni, J.; Wen, C.; Zhao, Y., Fixed-time leader-follower quantized output consensus of high-order multi-agent systems over digraph, Inf. Sci., 587, 408-434 (2022) · Zbl 1534.93010
[16] Zhan, H.; Wu, J.; Zhan, X.; Han, T.; Yan, H., Fixed-time bipartite containment control of high-order multi-agent systems in the signed graph, IEEE Trans. Circuits Syst. II, Express Briefs, 70, 4, 1520-1524 (2023)
[17] Yang, T.; Kang, H.; Ma, H., Adaptive fuzzy fixed-time tracking control for switched high-order multi-agent systems with input delay, IEEE Trans. Netw. Sci. Eng., 9, 5, 3492-3503 (2022)
[18] Wu, Y.; Ma, H.; Chen, M.; Li, H., Observer-based fixed-time adaptive fuzzy bipartite containment control for multiagent systems with unknown hysteresis, IEEE Trans. Fuzzy Syst., 30, 5, 1302-1312 (2022)
[19] Yang, Y.; Tang, L.; Zou, W.; Guo, J.; Ahn, C. K., Dynamic event-triggered design with fixed-time performance and input dead-zone, IEEE Trans. Circuits Syst. II, Express Briefs, 69, 11, 4344-4348 (2022)
[20] Xie, K.; Lyu, Z.; Liu, Z.; Zhang, Y.; Chen, C. L.P., Adaptive neural quantized control for a class of mimo switched nonlinear systems with asymmetric actuator dead-zone, IEEE Trans. Neural Netw. Learn. Syst., 31, 6, 1927-1941 (2020)
[21] Zhao, Z.; Tan, Z.; Liu, Z.; Efe, M. O.; Ahn, C. K., Adaptive inverse compensation fault-tolerant control for a flexible manipulator with unknown dead-zone and actuator faults, IEEE Trans. Ind. Electron., 70, 12, 12698-12707 (2023)
[22] He, Y.; Chang, X.-H.; Wang, H.; Zhao, X., Command-filtered adaptive fuzzy control for switched mimo nonlinear systems with unknown dead zones and full state constraints, Int. J. Fuzzy Syst., 25, 2, 544-560 (2023)
[23] Liu, D.; Liu, Z.; Chen, C. L.P.; Zhang, Y., Distributed adaptive neural fixed-time tracking control of multiple uncertain mechanical systems with actuation dead zones, IEEE Trans. Syst. Man Cybern. Syst., 52, 6, 3859-3872 (2022)
[24] Wang, F.; Liu, Z.; Lai, G., Fuzzy adaptive control of nonlinear uncertain plants with unknown dead zone output, Fuzzy Sets Syst., 263, 27-48 (2015) · Zbl 1361.93029
[25] Liu, Z.; Lai, G.; Zhang, Y.; Chen, C. L.P., Adaptive fuzzy tracking control of nonlinear time-delay systems with dead-zone output mechanism based on a novel smooth model, IEEE Trans. Fuzzy Syst., 23, 6, 1998-2011 (2015)
[26] Ma, L.; Huo, X.; Zhao, X.; Niu, B.; Zong, G., Adaptive neural control for switched nonlinear systems with unknown backlash-like hysteresis and output dead-zone, Neurocomputing, 357, 203-214 (2019)
[27] Liu, X.; Zhang, H.; Sun, J.; Guo, X., Dynamic threshold finite-time prescribed performance control for nonlinear systems with dead-zone output, IEEE Trans. Cybern., 1-10 (2023)
[28] Ma, Z.; Tong, S., Nonlinear filters-based adaptive fuzzy control of strict-feedback nonlinear systems with unknown asymmetric dead-zone output, IEEE Trans. Autom. Sci. Eng., 1-11 (2023)
[29] Shi, X.; Lim, C.-C.; Shi, P.; Xu, S., Adaptive neural dynamic surface control for nonstrict-feedback systems with output dead zone, IEEE Trans. Neural Netw. Learn. Syst., 29, 11, 5200-5213 (2018)
[30] Yang, H.; Lian, Y.; Zhang, X.; Ye, Q.; Cao, X., Finite-time adaptive fuzzy consensus stabilization for unknown nonlinear leaderless multi-agent systems with unknown output dead-zone, IEEE Access, 7, 103595-103607 (2019)
[31] Cao, X.; Zhang, C.; Zhao, D.; Sun, B.; Li, Y., Event-triggered consensus control of continuous-time stochastic multi-agent systems, Automatica, 137, Article 110022 pp. (2022) · Zbl 1482.93374
[32] Eslami, M.; Atrianfar, H.; Menhaj, M. B., Consensus of multi-agent systems with heterogeneous unknown nonlinear switching dynamics: a dwelling time approach, Inf. Sci., 618, 209-226 (2022) · Zbl 1533.93721
[33] Dorigo, M.; Maniezzo, V.; Colorni, A., Ant system: optimization by a colony of cooperating agents, IEEE Trans. Syst. Man Cybern., Part B, Cybern., 26, 1, 29-41 (1996)
[34] Chen, Z.; Wang, J.; Zhang, L.; Ma, K.; Liu, Y., Event-triggered prescribed settling time consensus control of uncertain nonlinear multiagent systems with given transient performance, ISA Trans., 129, 24-35 (2022)
[35] Lv, M.; Yu, W.; Cao, J.; Baldi, S., Consensus in high-power multiagent systems with mixed unknown control directions via hybrid Nussbaum-based control, IEEE Trans. Cybern., 52, 6, 5184-5196 (2022)
[36] Liu, Y.; Zhang, H.; Li, Q.; Liang, H., Practical fixed-time bipartite consensus control for nonlinear multi-agent systems: a barrier Lyapunov function-based approach, Inf. Sci., 607, 519-536 (2022) · Zbl 1533.93689
[37] Xu, H.; Yu, D.; Sui, S.; Zhao, Y.-P.; Chen, C. L.P.; Wang, Z., Nonsingular practical fixed-time adaptive output feedback control of mimo nonlinear systems, IEEE Trans. Neural Netw. Learn. Syst., 34, 10, 7222-7234 (2023)
[38] Zhao, Y.; Zhang, H.; Chen, Z.; Wang, H.; Zhao, X., Adaptive neural decentralised control for switched interconnected nonlinear systems with backlash-like hysteresis and output constraints, Int. J. Syst. Sci., 53, 7, 1545-1561 (2022) · Zbl 1497.93126
[39] Guo, X.; Zhang, H.; Sun, J.; Zhou, Y., Fixed-time fuzzy adaptive control of manipulator systems under multiple constraints: a modified dynamic surface control approach, IEEE Trans. Syst. Man Cybern. Syst., 53, 4, 2522-2532 (2023)
[40] Zhang, L.; Che, W.-W.; Chen, B.; Lin, C., Adaptive fuzzy output-feedback consensus tracking control of nonlinear multiagent systems in prescribed performance, IEEE Trans. Cybern., 53, 3, 1932-1943 (2023)
[41] Wang, J.; Yan, Y.; Liu, Z.; Chen, C. P.; Zhang, C.; Chen, K., Finite-time consensus control for multi-agent systems with full-state constraints and actuator failures, Neural Netw., 157, 350-363 (2023) · Zbl 1525.93394
[42] Zhang, L.; Chen, B.; Lin, C.; Shang, Y., Fuzzy adaptive finite-time consensus tracking control for nonlinear multi-agent systems, Int. J. Syst. Sci., 52, 7, 1346-1358 (2021) · Zbl 1483.93354
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.